In particular, our previous work shows that for a generic initial surface in \(\mathbb {R}^3\) , either the mean curvature flow has only spherical and cylindrical singularities or at the first singular time it has a tangent flow with a cylindrical end or higher multiplicity (both possibilities are conjectured not to happen). We refer the reader to the introduction to our previous article [1]} for further discussion of generic mean curvature flows and related work.
